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Finding the Fourth Proportional to 5,417.08, 8,115.88 and 5,038

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Solution

The fourth proportional to 5,417.08, 8,115.88 and 5,038 is: 7,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.08 : 8,115.88 = 5,038 : x
  2. Step 2: Convert to fraction form
    5,417.08/8,115.88 = 5,038/x
  3. Step 3: Cross multiply
    5,417.08x = 8,115.88 × 5,038
  4. Step 4: Simplify right side
    5,417.08x = 40,887,803.44
  5. Step 5: Solve for x
    x = 40,887,803.44/5,417.08
  6. Step 6: Final answer
    x = 7,547.94

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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.