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Finding the Fourth Proportional to 5,848.32, 8,069.96 and 3,490

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Solution

The fourth proportional to 5,848.32, 8,069.96 and 3,490 is: 4,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.32 : 8,069.96 = 3,490 : x
  2. Step 2: Convert to fraction form
    5,848.32/8,069.96 = 3,490/x
  3. Step 3: Cross multiply
    5,848.32x = 8,069.96 × 3,490
  4. Step 4: Simplify right side
    5,848.32x = 28,164,160.40
  5. Step 5: Solve for x
    x = 28,164,160.40/5,848.32
  6. Step 6: Final answer
    x = 4,815.77

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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.