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Finding the Fourth Proportional to 4,782.10, 7,125.08 and 4,513.52

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Solution

The fourth proportional to 4,782.10, 7,125.08 and 4,513.52 is: 6,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.10 : 7,125.08 = 4,513.52 : x
  2. Step 2: Convert to fraction form
    4,782.10/7,125.08 = 4,513.52/x
  3. Step 3: Cross multiply
    4,782.10x = 7,125.08 × 4,513.52
  4. Step 4: Simplify right side
    4,782.10x = 32,159,193.46
  5. Step 5: Solve for x
    x = 32,159,193.46/4,782.10
  6. Step 6: Final answer
    x = 6,724.91

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