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Finding the Fourth Proportional to 5,888.48, 8,128.56 and 4,210.16

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Solution

The fourth proportional to 5,888.48, 8,128.56 and 4,210.16 is: 5,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.48 : 8,128.56 = 4,210.16 : x
  2. Step 2: Convert to fraction form
    5,888.48/8,128.56 = 4,210.16/x
  3. Step 3: Cross multiply
    5,888.48x = 8,128.56 × 4,210.16
  4. Step 4: Simplify right side
    5,888.48x = 34,222,538.17
  5. Step 5: Solve for x
    x = 34,222,538.17/5,888.48
  6. Step 6: Final answer
    x = 5,811.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.