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Finding the Fourth Proportional to 4,335.47, 6,503.22 and 1,048.56

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Solution

The fourth proportional to 4,335.47, 6,503.22 and 1,048.56 is: 1,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.47 : 6,503.22 = 1,048.56 : x
  2. Step 2: Convert to fraction form
    4,335.47/6,503.22 = 1,048.56/x
  3. Step 3: Cross multiply
    4,335.47x = 6,503.22 × 1,048.56
  4. Step 4: Simplify right side
    4,335.47x = 6,819,016.36
  5. Step 5: Solve for x
    x = 6,819,016.36/4,335.47
  6. Step 6: Final answer
    x = 1,572.85

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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.