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Finding the Fourth Proportional to 4,725.76, 7,089.51 and 1,953.94

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Solution

The fourth proportional to 4,725.76, 7,089.51 and 1,953.94 is: 2,931.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.76 : 7,089.51 = 1,953.94 : x
  2. Step 2: Convert to fraction form
    4,725.76/7,089.51 = 1,953.94/x
  3. Step 3: Cross multiply
    4,725.76x = 7,089.51 × 1,953.94
  4. Step 4: Simplify right side
    4,725.76x = 13,852,477.17
  5. Step 5: Solve for x
    x = 13,852,477.17/4,725.76
  6. Step 6: Final answer
    x = 2,931.27

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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.