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Finding the Fourth Proportional to 4,714.61, 6,506.05 and 2,618.74

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Solution

The fourth proportional to 4,714.61, 6,506.05 and 2,618.74 is: 3,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.61 : 6,506.05 = 2,618.74 : x
  2. Step 2: Convert to fraction form
    4,714.61/6,506.05 = 2,618.74/x
  3. Step 3: Cross multiply
    4,714.61x = 6,506.05 × 2,618.74
  4. Step 4: Simplify right side
    4,714.61x = 17,037,607.75
  5. Step 5: Solve for x
    x = 17,037,607.75/4,714.61
  6. Step 6: Final answer
    x = 3,613.79

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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.