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Finding the Fourth Proportional to 4,971.42, 7,457.32 and 1,508.58

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Solution

The fourth proportional to 4,971.42, 7,457.32 and 1,508.58 is: 2,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.42 : 7,457.32 = 1,508.58 : x
  2. Step 2: Convert to fraction form
    4,971.42/7,457.32 = 1,508.58/x
  3. Step 3: Cross multiply
    4,971.42x = 7,457.32 × 1,508.58
  4. Step 4: Simplify right side
    4,971.42x = 11,249,963.81
  5. Step 5: Solve for x
    x = 11,249,963.81/4,971.42
  6. Step 6: Final answer
    x = 2,262.93

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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.