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Finding the Fourth Proportional to 4,078.04, 6,117.04 and 1,156.35

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Solution

The fourth proportional to 4,078.04, 6,117.04 and 1,156.35 is: 1,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.04 : 6,117.04 = 1,156.35 : x
  2. Step 2: Convert to fraction form
    4,078.04/6,117.04 = 1,156.35/x
  3. Step 3: Cross multiply
    4,078.04x = 6,117.04 × 1,156.35
  4. Step 4: Simplify right side
    4,078.04x = 7,073,402.84
  5. Step 5: Solve for x
    x = 7,073,402.84/4,078.04
  6. Step 6: Final answer
    x = 1,734.51

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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.