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Finding the Fourth Proportional to 5,804.32, 8,706.96 and 1,856.11

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Solution

The fourth proportional to 5,804.32, 8,706.96 and 1,856.11 is: 2,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.32 : 8,706.96 = 1,856.11 : x
  2. Step 2: Convert to fraction form
    5,804.32/8,706.96 = 1,856.11/x
  3. Step 3: Cross multiply
    5,804.32x = 8,706.96 × 1,856.11
  4. Step 4: Simplify right side
    5,804.32x = 16,161,075.53
  5. Step 5: Solve for x
    x = 16,161,075.53/5,804.32
  6. Step 6: Final answer
    x = 2,784.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.