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Finding the Fourth Proportional to 5,674.95, 7,828.47 and 3,686.58

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Solution

The fourth proportional to 5,674.95, 7,828.47 and 3,686.58 is: 5,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.95 : 7,828.47 = 3,686.58 : x
  2. Step 2: Convert to fraction form
    5,674.95/7,828.47 = 3,686.58/x
  3. Step 3: Cross multiply
    5,674.95x = 7,828.47 × 3,686.58
  4. Step 4: Simplify right side
    5,674.95x = 28,860,280.93
  5. Step 5: Solve for x
    x = 28,860,280.93/5,674.95
  6. Step 6: Final answer
    x = 5,085.56

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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.