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Finding the Fourth Proportional to 3,714.66, 5,123.88 and 2,386.08

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Solution

The fourth proportional to 3,714.66, 5,123.88 and 2,386.08 is: 3,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.66 : 5,123.88 = 2,386.08 : x
  2. Step 2: Convert to fraction form
    3,714.66/5,123.88 = 2,386.08/x
  3. Step 3: Cross multiply
    3,714.66x = 5,123.88 × 2,386.08
  4. Step 4: Simplify right side
    3,714.66x = 12,225,987.59
  5. Step 5: Solve for x
    x = 12,225,987.59/3,714.66
  6. Step 6: Final answer
    x = 3,291.28

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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.