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Finding the Fourth Proportional to 5,842.18, 8,058.20 and 3,482.50

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Solution

The fourth proportional to 5,842.18, 8,058.20 and 3,482.50 is: 4,803.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.18 : 8,058.20 = 3,482.50 : x
  2. Step 2: Convert to fraction form
    5,842.18/8,058.20 = 3,482.50/x
  3. Step 3: Cross multiply
    5,842.18x = 8,058.20 × 3,482.50
  4. Step 4: Simplify right side
    5,842.18x = 28,062,681.50
  5. Step 5: Solve for x
    x = 28,062,681.50/5,842.18
  6. Step 6: Final answer
    x = 4,803.46

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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.