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Finding the Fourth Proportional to 5,209.16, 7,746.85 and 5,045.12

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Solution

The fourth proportional to 5,209.16, 7,746.85 and 5,045.12 is: 7,502.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.16 : 7,746.85 = 5,045.12 : x
  2. Step 2: Convert to fraction form
    5,209.16/7,746.85 = 5,045.12/x
  3. Step 3: Cross multiply
    5,209.16x = 7,746.85 × 5,045.12
  4. Step 4: Simplify right side
    5,209.16x = 39,083,787.87
  5. Step 5: Solve for x
    x = 39,083,787.87/5,209.16
  6. Step 6: Final answer
    x = 7,502.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.