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Finding the Fourth Proportional to 5,870.90, 8,812.83 and 4,646.18

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Solution

The fourth proportional to 5,870.90, 8,812.83 and 4,646.18 is: 6,974.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.90 : 8,812.83 = 4,646.18 : x
  2. Step 2: Convert to fraction form
    5,870.90/8,812.83 = 4,646.18/x
  3. Step 3: Cross multiply
    5,870.90x = 8,812.83 × 4,646.18
  4. Step 4: Simplify right side
    5,870.90x = 40,945,994.49
  5. Step 5: Solve for x
    x = 40,945,994.49/5,870.90
  6. Step 6: Final answer
    x = 6,974.40

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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.