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Finding the Fourth Proportional to 4,642.89, 6,406.88 and 2,547.15

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Solution

The fourth proportional to 4,642.89, 6,406.88 and 2,547.15 is: 3,514.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.89 : 6,406.88 = 2,547.15 : x
  2. Step 2: Convert to fraction form
    4,642.89/6,406.88 = 2,547.15/x
  3. Step 3: Cross multiply
    4,642.89x = 6,406.88 × 2,547.15
  4. Step 4: Simplify right side
    4,642.89x = 16,319,271.66
  5. Step 5: Solve for x
    x = 16,319,271.66/4,642.89
  6. Step 6: Final answer
    x = 3,514.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.