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Finding the Fourth Proportional to 4,030.38, 6,070.98 and 3,784.35

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Solution

The fourth proportional to 4,030.38, 6,070.98 and 3,784.35 is: 5,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,030.38 : 6,070.98 = 3,784.35 : x
  2. Step 2: Convert to fraction form
    4,030.38/6,070.98 = 3,784.35/x
  3. Step 3: Cross multiply
    4,030.38x = 6,070.98 × 3,784.35
  4. Step 4: Simplify right side
    4,030.38x = 22,974,713.16
  5. Step 5: Solve for x
    x = 22,974,713.16/4,030.38
  6. Step 6: Final answer
    x = 5,700.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.