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Finding the Fourth Proportional to 4,923.16, 7,380 and 1,802.32

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Solution

The fourth proportional to 4,923.16, 7,380 and 1,802.32 is: 2,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.16 : 7,380 = 1,802.32 : x
  2. Step 2: Convert to fraction form
    4,923.16/7,380 = 1,802.32/x
  3. Step 3: Cross multiply
    4,923.16x = 7,380 × 1,802.32
  4. Step 4: Simplify right side
    4,923.16x = 13,301,121.60
  5. Step 5: Solve for x
    x = 13,301,121.60/4,923.16
  6. Step 6: Final answer
    x = 2,701.74

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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.