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Finding the Fourth Proportional to 4,476.04, 6,714.13 and 1,356.08

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Solution

The fourth proportional to 4,476.04, 6,714.13 and 1,356.08 is: 2,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.04 : 6,714.13 = 1,356.08 : x
  2. Step 2: Convert to fraction form
    4,476.04/6,714.13 = 1,356.08/x
  3. Step 3: Cross multiply
    4,476.04x = 6,714.13 × 1,356.08
  4. Step 4: Simplify right side
    4,476.04x = 9,104,860.45
  5. Step 5: Solve for x
    x = 9,104,860.45/4,476.04
  6. Step 6: Final answer
    x = 2,034.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.