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Finding the Fourth Proportional to 3,503.09, 5,254.48 and 870.53

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Solution

The fourth proportional to 3,503.09, 5,254.48 and 870.53 is: 1,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.09 : 5,254.48 = 870.53 : x
  2. Step 2: Convert to fraction form
    3,503.09/5,254.48 = 870.53/x
  3. Step 3: Cross multiply
    3,503.09x = 5,254.48 × 870.53
  4. Step 4: Simplify right side
    3,503.09x = 4,574,182.47
  5. Step 5: Solve for x
    x = 4,574,182.47/3,503.09
  6. Step 6: Final answer
    x = 1,305.76

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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.