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Finding the Fourth Proportional to 4,714.82, 6,506.52 and 2,590.28

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Solution

The fourth proportional to 4,714.82, 6,506.52 and 2,590.28 is: 3,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.82 : 6,506.52 = 2,590.28 : x
  2. Step 2: Convert to fraction form
    4,714.82/6,506.52 = 2,590.28/x
  3. Step 3: Cross multiply
    4,714.82x = 6,506.52 × 2,590.28
  4. Step 4: Simplify right side
    4,714.82x = 16,853,708.63
  5. Step 5: Solve for x
    x = 16,853,708.63/4,714.82
  6. Step 6: Final answer
    x = 3,574.62

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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.