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Finding the Fourth Proportional to 5,320.95, 7,981.44 and 1,858.20

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Solution

The fourth proportional to 5,320.95, 7,981.44 and 1,858.20 is: 2,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.95 : 7,981.44 = 1,858.20 : x
  2. Step 2: Convert to fraction form
    5,320.95/7,981.44 = 1,858.20/x
  3. Step 3: Cross multiply
    5,320.95x = 7,981.44 × 1,858.20
  4. Step 4: Simplify right side
    5,320.95x = 14,831,111.81
  5. Step 5: Solve for x
    x = 14,831,111.81/5,320.95
  6. Step 6: Final answer
    x = 2,787.31

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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.