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Finding the Fourth Proportional to 5,870.76, 8,807.46 and 1,975.06

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Solution

The fourth proportional to 5,870.76, 8,807.46 and 1,975.06 is: 2,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.76 : 8,807.46 = 1,975.06 : x
  2. Step 2: Convert to fraction form
    5,870.76/8,807.46 = 1,975.06/x
  3. Step 3: Cross multiply
    5,870.76x = 8,807.46 × 1,975.06
  4. Step 4: Simplify right side
    5,870.76x = 17,395,261.95
  5. Step 5: Solve for x
    x = 17,395,261.95/5,870.76
  6. Step 6: Final answer
    x = 2,963.03

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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.