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Finding the Fourth Proportional to 4,334.48, 6,497.76 and 1,560.50

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Solution

The fourth proportional to 4,334.48, 6,497.76 and 1,560.50 is: 2,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.48 : 6,497.76 = 1,560.50 : x
  2. Step 2: Convert to fraction form
    4,334.48/6,497.76 = 1,560.50/x
  3. Step 3: Cross multiply
    4,334.48x = 6,497.76 × 1,560.50
  4. Step 4: Simplify right side
    4,334.48x = 10,139,721.99
  5. Step 5: Solve for x
    x = 10,139,721.99/4,334.48
  6. Step 6: Final answer
    x = 2,339.32

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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.