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Finding the Fourth Proportional to 5,870.40, 8,805.60 and 3,683.40

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Solution

The fourth proportional to 5,870.40, 8,805.60 and 3,683.40 is: 5,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.40 : 8,805.60 = 3,683.40 : x
  2. Step 2: Convert to fraction form
    5,870.40/8,805.60 = 3,683.40/x
  3. Step 3: Cross multiply
    5,870.40x = 8,805.60 × 3,683.40
  4. Step 4: Simplify right side
    5,870.40x = 32,434,547.04
  5. Step 5: Solve for x
    x = 32,434,547.04/5,870.40
  6. Step 6: Final answer
    x = 5,525.10

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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.