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Finding the Fourth Proportional to 3,435.81, 5,153.43 and 970.50

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Solution

The fourth proportional to 3,435.81, 5,153.43 and 970.50 is: 1,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.81 : 5,153.43 = 970.50 : x
  2. Step 2: Convert to fraction form
    3,435.81/5,153.43 = 970.50/x
  3. Step 3: Cross multiply
    3,435.81x = 5,153.43 × 970.50
  4. Step 4: Simplify right side
    3,435.81x = 5,001,403.82
  5. Step 5: Solve for x
    x = 5,001,403.82/3,435.81
  6. Step 6: Final answer
    x = 1,455.67

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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.