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Finding the Fourth Proportional to 5,207.59, 7,804.59 and 4,547.90

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Solution

The fourth proportional to 5,207.59, 7,804.59 and 4,547.90 is: 6,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.59 : 7,804.59 = 4,547.90 : x
  2. Step 2: Convert to fraction form
    5,207.59/7,804.59 = 4,547.90/x
  3. Step 3: Cross multiply
    5,207.59x = 7,804.59 × 4,547.90
  4. Step 4: Simplify right side
    5,207.59x = 35,494,494.86
  5. Step 5: Solve for x
    x = 35,494,494.86/5,207.59
  6. Step 6: Final answer
    x = 6,815.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.