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Finding the Fourth Proportional to 4,373.52, 6,560 and 1,776.39

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Solution

The fourth proportional to 4,373.52, 6,560 and 1,776.39 is: 2,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,373.52 : 6,560 = 1,776.39 : x
  2. Step 2: Convert to fraction form
    4,373.52/6,560 = 1,776.39/x
  3. Step 3: Cross multiply
    4,373.52x = 6,560 × 1,776.39
  4. Step 4: Simplify right side
    4,373.52x = 11,653,118.40
  5. Step 5: Solve for x
    x = 11,653,118.40/4,373.52
  6. Step 6: Final answer
    x = 2,664.47

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