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Finding the Fourth Proportional to 4,718.82, 7,075.53 and 1,430.94

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Solution

The fourth proportional to 4,718.82, 7,075.53 and 1,430.94 is: 2,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.82 : 7,075.53 = 1,430.94 : x
  2. Step 2: Convert to fraction form
    4,718.82/7,075.53 = 1,430.94/x
  3. Step 3: Cross multiply
    4,718.82x = 7,075.53 × 1,430.94
  4. Step 4: Simplify right side
    4,718.82x = 10,124,658.90
  5. Step 5: Solve for x
    x = 10,124,658.90/4,718.82
  6. Step 6: Final answer
    x = 2,145.59

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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.