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Finding the Fourth Proportional to 5,715.10, 8,564.65 and 4,547.10

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Solution

The fourth proportional to 5,715.10, 8,564.65 and 4,547.10 is: 6,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.10 : 8,564.65 = 4,547.10 : x
  2. Step 2: Convert to fraction form
    5,715.10/8,564.65 = 4,547.10/x
  3. Step 3: Cross multiply
    5,715.10x = 8,564.65 × 4,547.10
  4. Step 4: Simplify right side
    5,715.10x = 38,944,320.02
  5. Step 5: Solve for x
    x = 38,944,320.02/5,715.10
  6. Step 6: Final answer
    x = 6,814.28

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