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Finding the Fourth Proportional to 4,714.12, 6,508.74 and 2,946.52

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Solution

The fourth proportional to 4,714.12, 6,508.74 and 2,946.52 is: 4,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.12 : 6,508.74 = 2,946.52 : x
  2. Step 2: Convert to fraction form
    4,714.12/6,508.74 = 2,946.52/x
  3. Step 3: Cross multiply
    4,714.12x = 6,508.74 × 2,946.52
  4. Step 4: Simplify right side
    4,714.12x = 19,178,132.58
  5. Step 5: Solve for x
    x = 19,178,132.58/4,714.12
  6. Step 6: Final answer
    x = 4,068.23

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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.